The names of 11 boys and 9 girls from your class are put into a hat. What is the probability that the first two names chosen will both be girls?



Show work please and Thanks

56 units are in the sum of the lengths of the three altitudes in a triangle with sides $7,$ $24,$ and $25$

Properties of triangles are:

A triangle has three sides and three angles.

The sum of the angles of a triangle is always 180 degrees.

The exterior angles of a triangle always add up to 360 degrees.

The sum of consecutive interior and exterior angle is supplementary.

Given:

Height: ha = 7

Height: hb = 24

Height: hc = 25

Sum to sides is:

25 +7 + 24 =56 units.

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Answer:

I think it is 216 sorry if it is wrong

Step-by-step explanation:

Answer: 138

Step-by-step explanation:

Answer:

predict the impact of removing snakes from this food web

Answer C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Option A  is the correct answer because the ratio between the opposite side and the hypotenuse side is correct.

Triangle :

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle. The right triangle plays an important role in trigonometry. Let us learn more about this triangle in this article.

A triangle with Side lengths a unit, b units, and c units.

"Opposite" is opposite to the angle θ

"Adjacent" is adjacent (next to) to the angle θ

"Hypotenuse" is the long one

A)

Sin 55 = a/c

Sin  θ = opposite / hypotenuse

Option A ) is correct  Sin 55 = a/c  

B)

Cos(55°)=c/b

Cos θ =  Adjacent / hypotenuse

Cos 55 = c/ b is not equal to the Adjacent / hypotenuse

Option B)  is not a correct answer because the ratio is between  Adjacent and Hypotenuse.  

C)

Cos(55°)=a/b

Cos θ =  Adjacent / hypotenuse

Cos 55 = a/ b is not equal to the Adjacent / hypotenuse

Option C)  is not a correct answer because the ratio is between Adjacent and Hypotenuse.  

D)

Tan(55°)=c/a

Tan θ  = Opposite / Adjacent

Tan 55 =  c/a is not equal to the  Opposite / Adjacent

Option D)  is not a correct answer because the ratio is between Opposite and Adjacent.  

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The positive integers that will make (32)x greater than 39 must be greater than 39/32

A whole number that is greater than zero is what is meant by the term "positive integer."

All counting numbers are included in the set of positive integers (that is, the natural numbers)

In the problem, the given expression is (32)x greater than 39 rewriting gives

(32)x > 39

solving for x

x > 39/32

the integer must be greater than 39/32

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Answer: Im pretty sure its a bar graph.

Step-by-step explanation:

The result of testing the given claim is; c) H₀: p = .5, Hₐ: p≠ .5; z = 0.8; Fail to reject H₀ at the 1% significance level

We are given;

Sample size; n = 100

Sample proportion; p' = 54/100 = 0.54

In general, population proportion is; p = 0.5

Thus;

The null hypothesis is, H₀: p = 0.5

Alternative hypothesis is; Hₐ: p ≠ 0.5

z-test statistic is defined as:

z = √[(p' - p)/(p(1 - p)/n)]

Plugging in the relevant values gives;

z = √[(0.54 - 0.5)/(0.5(1 - 0.5)/100)]

z = 0.8

From p-value from z-score calculator, we have;

p-value = 0.4237

The P-value is greater than the 1% level of significance. We fail to reject the null hypothesis at the 1% level of significance.

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Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Answer:

4/p

Step-by-step explanation:

4/p=4overp

Answer:

ferris wheel: 2

roller coaster: 4

Step-by-step explanation:

Variables

y = ferris wheel tickets

x = roller coaster tickets

Two equations

5y + 4x = 26

5y + 3x = 22

Using Elimination (minus the top and bottom)

We get:

x = 4 (because 5y - 5y is zero, 4x - 3x is x, and 26 - 22 is 4)

Since the roller coaster price is know, you can sub it into any of the two equations and fine ferris wheel price.

5y + 3(4) = 22

5y + 12 = 22

5y = 10

y = 2

Therefore:

ferris wheel charges 2 tickets

roller coaster charges 4 tickets

Answer:

Step-by-step explanation:

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Vince works in an amusement park and is helping decorate it with strands of lights. This morning, he used a total of 16 strands of lights to decorate 2 bushes and 1 tree. This afternoon, he strung lights on 3 bushes and 4 trees, using a total of 44 strands. Assuming that all bushes are decorated one way and all trees are decorated another, how many strands did Vince use on each?

Vince decorated every bush with

strands of lights and every tree with

strands.

Answer:

100th

Step-by-step explanation:

the rule is to start with 5 and then add 6 to it

5,11,17,23,29,35,41,47,53,59,65,71,77,83, answer would be the 100 position

"if a, then b" means that a is a sufficient condition for b, and that b is a necessary condition for a to be true. The statement is true unless a is true and b is false.

The statement "if a, then b" is known as a conditional statement, which is a type of logical statement that is often used in mathematics and other fields. In this case, the statement means that if statement a is true, then statement b must also be true. If a is false, then the truth value of b is not relevant, as the statement is considered true regardless.

The statement "if a, then b" is often written as "a → b" using logical symbols. The symbol "→" is read as "implies" or "if-then".

For example, consider the statements "If it is raining, then the ground is wet" (a → b). This statement is considered true unless it is raining and the ground is not wet, which is a contradiction. If it is not raining, the truth value of "the ground is wet" is not relevant to the truth of the conditional statement.

In summary, "if a, then b" means that a is a sufficient condition for b, and that b is a necessary condition for a to be true. The statement is true unless a is true and b is false.

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15$ for admission + 3$ x 5 rides

= 15$ + 15$ = 30$

30$ total  

 separately, 15$ for the rides

Answer:

For 5 rides= $30

For r rides= $(15+3r)

Step-by-step explanation:

Admission fees=$15

For one ride=$3

For 5 rides=5x$3=$15

Total money=$15+$15=$30

For r rides=rx$3

Total money=$(15+3r)

Answer:

-x +2y = - 10

2y = x - 10

y. = x - 10/2

hope it helps ☺️☺️

Graph would be the first step!

Answer:

B

Step-by-step explanation:

The Domain is the X- value so that makes it the domain and you have to order it correctly

Answer:

Step-by-step explanation:

When you draw out that picture (and very good description, btw!) basically what you have is a right triangle that has a base of 32 and a hypotenuse of 45. The right angle is one of the base angles and x is the vertex angle. We need to find the vertex angle before we can find the angle of depression from the second bird to the watcher. The side of length 32 is opposite the angle x, and 45 is the hypotenuse, so the trig ratio we need is the only one that directly relates side opposite to hypotenuse, which is the sin ratio:

\(sin(x)=\frac{32}{45}\) and

sin(x) = .711111111

Go to your calculator and hit the 2nd button then the sin button and on your screen you will see:

\(sin^{-1}(\)  

and after that open parenthesis enter in your decimal .711111111 and hit equals. You should get an angle of 45.325. That's angle x. But that's not the angle of depression. The angle of depression is the one complementary to angle x.

Angle of depression = 90 - angle x and

Angle of depression = 90 - 45.325 so

Angle of depression = 44.67 or 44.7 degrees.

Answer:

Its 45.3!!!

Step-by-step explanation:

Answer:

A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

Step-by-step explanation:

The only thing that has changed is that x^2 is multiplied by 5.

If the x^2 is multiplied by a constant that has an absolute value less than 1, the parabola will undergo a vertical compression.

If the x^2 is multiplied by a constant that has an absolute value more than 1, the parabola will undergo a vertical stretch.

Since the absolute value of 5 is more than 1, A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

Hope this helps!

The probability that is true is P(D or E) = 0.72.

Option D is the correct answer.

We have,

We can start by using the formula:

P(D and E) = P(D) x P(E)

Since D and E are independent events, their probabilities multiply to give the probability of both events happening together.

Plugging in the given values.

0.18 = 0.6 x P(E)

Solving for P(E).

P(E) = 0.18 / 0.6 = 0.3

So option (A) is not correct.

To find P(D or E), we can use the formula:

P(D or E) = P(D) + P(E) - P(D and E)

Plugging in the given values.

P(D or E) = 0.6 + 0.3 - 0.18 = 0.72

Thus,

P(D or E) = 0.72 is true.

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Answer:

Step-by-step explanation:

Given functions:

Domain interval

Rate of change, f(x)=-8x^2

Rate of change, g(x)=-32x^2

Answer:

ST = 44.5 feet

Step-by-step explanation:

sing SOH CAH TOA to solve the problem;

Given

m<T  = 90

m<R = 39 degrees

TR = 55feet

Required

ST = opposite to m<R

TR is the adjacent

tan theta = opp/adj

tan m<R = ST/TR

tan 39 = ST/55

ST = 55tan39

ST  = 55*0.8098

ST = 44.5 feet

Answer:

Step-by-step explanation:

(-75) x173+173x(-25)

173(-75-25)

173(-100)

-17300

Answer:

n= 45

Step-by-step explanation:

2/5×n=18

2n/5=18

2n/2=90/2

n=45

Answer:

we conclude that:

Step-by-step explanation:

A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.

The image can be obtained by multiplying the measure of the original object by a scale factor.

If the scale factor > 1, the image is stretched

If the scale factor < 1, the image is reduced

If the scale factor = 1, the image and object will be congruent

For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.

Dilation with scale factor 2, multiply by 2.

A(2, 2) → (2(2), 2(2)) = A'(4, 4)

So, the image point A'(4, 4) is enlarged.

Dilation with scale factor ½, multiply by ½.

A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)

So, the image point A'(1, 1) is reduced.

Therefore, we conclude that:

The value of x = 6

A mixture is a combination of two or more elements mixed in a fixed proportion.

As, from the table,

(0.1 + 0.09x ) /(2+x) = 0.08

0.1 +0.09x = 0.16 +0.08x

0.01 x = 0.06

x = 6

Hence, the value of x is 6.

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Answer

the rectangular coordinate is (6.15, 7.88)

Explanation

Given the following points

B = (10, 52 degrees)

B = ( r, theta)

Let r = 10 and theta = 52 degrees

Step 1: Find sin 52 and cos 52

Sin 52 = 0.7880

Cos 52 = 0.6157

Step 2: find the x and y - coordinates

X - coordinate = r x cos 52

y - coordiante = r x sin 52

x - coordiante = 10 x 0.6157

x - coordiante = 6.15

y - coordinate = 10 x 0.7880

y - coordinate = 7.88

Therefore, the rectangular coordinate is (6.15, 7.88)